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Finding the Fourth Proportional to 346,834, 478,691.84 and 201,684.70

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Solution

The fourth proportional to 346,834, 478,691.84 and 201,684.70 is: 278,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,834 : 478,691.84 = 201,684.70 : x
  2. Step 2: Convert to fraction form
    346,834/478,691.84 = 201,684.70/x
  3. Step 3: Cross multiply
    346,834x = 478,691.84 × 201,684.70
  4. Step 4: Simplify right side
    346,834x = 96,544,820,142.85
  5. Step 5: Solve for x
    x = 96,544,820,142.85/346,834
  6. Step 6: Final answer
    x = 278,360.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.